No we look at integrating exponentials

Topics: integration, exponentials

A menu to help with the process of factorising

Topics: algebra, factorising

Expanding algebraic products

Topic: binomial

Introducing the exponential function and how to differentiate it.

Topic: exponentials

The basics of algebra

Topics: algebra, indices

Looking for situations that lead to logs

Topics: integration, logarithms

How to differentiate a logarithmic function

Topics: calculus, logarthm, differentiation

Introducing the logarithmic function

Topics: logarithms, log laws

Introducing the logarithmic function

Topic: logarithm

Creating new polynomials using the roots of another polynomial.

Topic: polynomial

Expanding on the idea from Extension 1

Topics: polynomials, roots, coefficients

How to find repeated roots

Topics: polynomials, multiple roots

Factorising over the real and complex fields

Topic: polynomials

When a function is difficult to integrate

Topics: integration, approximation

Look for this situation

Topic: integration

Finding the volume of solids with circular cross-sections.

Topics: integration, volume

How to handle area

Topics: integration, area

A useful theorem

Topics: integration, indefinite integral

Rules for integration

Topics: integration, definite integral

Find the area if irregular shapes

Topics: area, integration

Manipulating the roots of unity

Topics: complex numbers, roots of unity

Using compolex numbers to prove trig identities

Topics: complex numbers, trig identities

Raising complex numbers to powers

Topics: complex numbers, de moivres

More curves

Topic: complex numbers

Curves and regions in the Argand Diagram

Topic: complex numbers

More on the Argand Diagram

Topic: complex numbers

Playing with conjugates

Topics: complex numbers, conjugates

Describing complex numbers using polar coordinates

Topics: complex numbers, mod arg

Placing complex numbers on a diagram

Topics: complex numbers, argand diagram

Using imaginary numbers to solve quadratics

Topics: complex numbers, quadratics

Introducing complex numbers

Topic: complex numbers

extending to polynomials

Topic: polynomials

Polynomial results that assist when factorising

Topic: polynomial

Some theorems that save time

Topic: polynomials

The division algorithm for polynomials

Topics: polynomials, division

Key features to look for when sketching polynomials

Topics: polynomials, curve sketching

Defining terms concerning polynomials

Topic: polynomials

Using series to solve finance problems

Topics: series, finance

Using number patterns to solve problems

Topics: series, arithmetic, geometric

Looking at a couple of past questions

Topic: induction

Induction questions involving inequalities

Topics: induction, inequalities

Divisibility type problems

Topics: induction, divisibility

Introducing induction as applied to series type questions

Topic: induction

Generalising a factorisation

Topic: factorising

Deriving formulae for geometric series

Topics: sum, geometric series

Evaluating the sum of an arithmetic sequence

Topics: sum, arithmetic series

Introducing sigma notation

Topics: series, sum

arithmetic & geometric means

Topics: series, means

A mixture of two different years

Topics: series, geometric series

When new terms are created by multiplying rather than adding

Topics: series, geometric series

Introducing number patterns

Topic: arithmetic series

Three theorems that can be reduced to one

Topic: circle geometry

The alternate segment

Topic: alternate segment

Starting with a chord theorem and creating a tangent theorem

Topics: tangent, circle geometry

Approaches to solving inequality problems

Topic: inequalities

Using graphs to assist in the solving of inequalities

Topic: inequalities

Using circle theorems to prove circles exist!!!

Topic: circle geometry

Adding a couple of angle theorems to the list

Topics: angle theorems, circle geometry

Some harder induction problems

Topic: induction

The first of our angle theorems

Topics: circle geometry, angle theorems

Going back the other way

Topic: primitive function

Harder Extension 1

Topic: circle geometry

Using calculus to solve maxima/minima problems.

Topics: calculus, maxima, minima

Creating a curve sketching menu

Topic: curve sketching

How does the slope change with respect to x. Answer: concavity

Topics: concavity, calculus, curve sketching

Performing differentiation a second time

Topics: calculus, second derivative

Key features of a graph

Topics: curve sketching, calculus

Using the first derivative for curve sketching

Topics: calculus, curve sketching

Finding the locus of points

Topics: locus, parametric

Looking at some properties of the parabola

Topics: parabola, parametrics

Two ways of deriving the chord of contact

Topic: chord of contact

A Cartesian approach to tangents & normala

Topics: tangent, normals

Defining the tangents and normal of the parabola

Topics: parabola, tangent, normal, parametric

Finding the general form of the chord of a parabola

Topics: parametric, parametric, chord

Using parameters to describe curves

Topic: parametric

Looking at some past HSC graphing questions

Topic: curve sketching

Rooting a function

Topic: curve sketching

Raising functions to a power

Topic: curve sketching

Turning curves upside down

Topics: curve sketching, reciprocal

The four basic operations and curves.

Topic: curve sketching

How to describe a parabola geometrically

Topics: locus, parabola

Curves can be described algebraically but also geometrically

Topic: locus

Transforming the basic curves.

Topics: curve sketching, transformation

The basic ideas of curve sketching

Topic: curve sketching

Equating two quadratics

Topic: quadratic

Looking at the relationship between the roots and the coefficients of a quadratic

Topics: quadratic, roots

Classifying quadratics

Topics: quadratics, definite

Further uses of the discriminant

Topics: quadratic, discriminant

Solving maximisation problems using the theory of quadratics

Topics: quadratic, maxima, minima

Solving non-quadratics as if they were quadratics.

Topic: quadratics

Some alternative ways of finding the features of quadratics

Topic: quadratic

Defining the quadratic

Topic: quadratic

Called it the chain rule, call it rates of change, call it implicit differentiation. It is all the same idea.

Topic: calculus

Using the derivative to solve practical problems.

Topic: calculus

Differentiating functions involving fractions

Topic: calculus

Differentiating a product of two functions

Topic: calculus

Using the binomial theorem to solve probability problems

Topic: binomial theorem

A rule which allows us to differentiate without expanding out

Topic: calculus

Proving Pascal Triangle relationships using the binomial theorem

Topic: binomial theorem

Developing some rules for differentiation by first principles

Topic: calculus